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1. • CommentRowNumber1.
   • CommentAuthorUrs
   • CommentTimeJul 22nd 2021
   • (edited Jul 22nd 2021)
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded this remark: > Under the [[formal duality]] between [[L-∞ algebras|$L_\infty$-algebras]] and their [[Chevalley-Eilenberg algebra|Chevalley-Eilenberg]] [[dgc-algebras]], [[connective]] nilpotent $L_\infty$-algebras correspond [[bijection|bijectively]] to the connected [[Sullivan models]] ([Berglund 2015, Thm. 2.3](https://ncatlab.org/nlab/show/nilpotent+L-infinity+algebra#Berglund15)). and pointer to * [[Alexander Berglund]], _Rational homotopy theory of mapping spaces via Lie theory for $L_\infty$ algebras_, Homology, Homotopy and Applications, Volume 17 (2015) Number 2 ([arXiv:1110.6145](https://arxiv.org/abs/1110.6145), [doi:10.4310/HHA.2015.v17.n2.a16]( http://dx.doi.org/10.4310/HHA.2015.v17.n2.a16)) <a href="https://ncatlab.org/nlab/revision/diff/nilpotent+L-infinity+algebra/3">diff</a>, <a href="https://ncatlab.org/nlab/revision/nilpotent+L-infinity+algebra/3">v3</a>, <a href="https://ncatlab.org/nlab/show/nilpotent+L-infinity+algebra">current</a>

   added this remark:

   Under the formal duality between $L_\infty$-algebras and their Chevalley-Eilenberg dgc-algebras, connective nilpotent $L_\infty$-algebras correspond bijectively to the connected Sullivan models (Berglund 2015, Thm. 2.3).

   and pointer to

   • Alexander Berglund, Rational homotopy theory of mapping spaces via Lie theory for $L_\infty$ algebras, Homology, Homotopy and Applications, Volume 17 (2015) Number 2 (arXiv:1110.6145, doi:10.4310/HHA.2015.v17.n2.a16)

   diff, v3, current